Being a Director and running UK company from abroad

Client is currently living and working through his own limited company in the UK on a VISA.

He is going back to Oz soon and will employ someone to carry on working through the company whilst he remains the Director and shareholder. The Director's VISA will run out in 6 months time which is not a problem as he will not be in the UK. However, as he is still officially running a UK company from abroad, does it matter he does not have a VISA or will that not have anything to do with being a company director and shareholder?